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<div class="subTitle">org.apache.commons.math3.distribution</div>
<h2 title="Class GeometricDistribution" class="title">Class GeometricDistribution</h2>
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<li><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">org.apache.commons.math3.distribution.AbstractIntegerDistribution</a></li>
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<li>org.apache.commons.math3.distribution.GeometricDistribution</li>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="../../../../../org/apache/commons/math3/distribution/IntegerDistribution.html" title="interface in org.apache.commons.math3.distribution">IntegerDistribution</a></dd>
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<pre>public class <span class="strong">GeometricDistribution</span>
extends <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractIntegerDistribution</a></pre>
<div class="block">Implementation of the geometric distribution.</div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="http://en.wikipedia.org/wiki/Geometric_distribution">Geometric distribution (Wikipedia)</a>, 
<a href="http://mathworld.wolfram.com/GeometricDistribution.html">Geometric Distribution (MathWorld)</a>, 
<a href="../../../../../serialized-form.html#org.apache.commons.math3.distribution.GeometricDistribution">Serialized Form</a></dd></dl>
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<h3>Fields inherited from class&nbsp;org.apache.commons.math3.distribution.<a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractIntegerDistribution</a></h3>
<code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#random">random</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#randomData">randomData</a></code></li>
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colOne" scope="col">Constructor and Description</th>
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<tr class="altColor">
<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#GeometricDistribution(double)">GeometricDistribution</a></strong>(double&nbsp;p)</code>
<div class="block">Create a geometric distribution with the given probability of success.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#GeometricDistribution(org.apache.commons.math3.random.RandomGenerator,%20double)">GeometricDistribution</a></strong>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a>&nbsp;rng,
                     double&nbsp;p)</code>
<div class="block">Creates a geometric distribution.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#cumulativeProbability(int)">cumulativeProbability</a></strong>(int&nbsp;x)</code>
<div class="block">For a random variable <code>X</code> whose values are distributed according
 to this distribution, this method returns <code>P(X &lt;= x)</code>.</div>
</td>
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<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#getNumericalMean()">getNumericalMean</a></strong>()</code>
<div class="block">Use this method to get the numerical value of the mean of this
 distribution.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#getNumericalVariance()">getNumericalVariance</a></strong>()</code>
<div class="block">Use this method to get the numerical value of the variance of this
 distribution.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#getProbabilityOfSuccess()">getProbabilityOfSuccess</a></strong>()</code>
<div class="block">Access the probability of success for this distribution.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#getSupportLowerBound()">getSupportLowerBound</a></strong>()</code>
<div class="block">Access the lower bound of the support.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#getSupportUpperBound()">getSupportUpperBound</a></strong>()</code>
<div class="block">Access the upper bound of the support.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>int</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#inverseCumulativeProbability(double)">inverseCumulativeProbability</a></strong>(double&nbsp;p)</code>
<div class="block">Computes the quantile function of this distribution.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#isSupportConnected()">isSupportConnected</a></strong>()</code>
<div class="block">Use this method to get information about whether the support is
 connected, i.e.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#logProbability(int)">logProbability</a></strong>(int&nbsp;x)</code>
<div class="block">For a random variable <code>X</code> whose values are distributed according to
 this distribution, this method returns <code>log(P(X = x))</code>, where
 <code>log</code> is the natural logarithm.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/GeometricDistribution.html#probability(int)">probability</a></strong>(int&nbsp;x)</code>
<div class="block">For a random variable <code>X</code> whose values are distributed according
 to this distribution, this method returns <code>P(X = x)</code>.</div>
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<h3>Methods inherited from class&nbsp;org.apache.commons.math3.distribution.<a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractIntegerDistribution</a></h3>
<code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#cumulativeProbability(int,%20int)">cumulativeProbability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#reseedRandomGenerator(long)">reseedRandomGenerator</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#sample()">sample</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#sample(int)">sample</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#solveInverseCumulativeProbability(double,%20int,%20int)">solveInverseCumulativeProbability</a></code></li>
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<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<pre>public&nbsp;GeometricDistribution(double&nbsp;p)</pre>
<div class="block">Create a geometric distribution with the given probability of success.
 <p>
 <b>Note:</b> this constructor will implicitly create an instance of
 <a href="../../../../../org/apache/commons/math3/random/Well19937c.html" title="class in org.apache.commons.math3.random"><code>Well19937c</code></a> as random generator to be used for sampling only (see
 <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#sample()"><code>AbstractIntegerDistribution.sample()</code></a> and <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#sample(int)"><code>AbstractIntegerDistribution.sample(int)</code></a>). In case no sampling is
 needed for the created distribution, it is advised to pass <code>null</code>
 as random generator via the appropriate constructors to avoid the
 additional initialisation overhead.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - probability of success.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code> - if <code>p &lt;= 0</code> or <code>p &gt; 1</code>.</dd></dl>
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<pre>public&nbsp;GeometricDistribution(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a>&nbsp;rng,
                     double&nbsp;p)</pre>
<div class="block">Creates a geometric distribution.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>rng</code> - Random number generator.</dd><dd><code>p</code> - Probability of success.</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code> - if <code>p &lt;= 0</code> or <code>p &gt; 1</code>.</dd></dl>
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<h4>getProbabilityOfSuccess</h4>
<pre>public&nbsp;double&nbsp;getProbabilityOfSuccess()</pre>
<div class="block">Access the probability of success for this distribution.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>the probability of success.</dd></dl>
</li>
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<h4>probability</h4>
<pre>public&nbsp;double&nbsp;probability(int&nbsp;x)</pre>
<div class="block">For a random variable <code>X</code> whose values are distributed according
 to this distribution, this method returns <code>P(X = x)</code>. In other
 words, this method represents the probability mass function (PMF)
 for the distribution.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the point at which the PMF is evaluated</dd>
<dt><span class="strong">Returns:</span></dt><dd>the value of the probability mass function at <code>x</code></dd></dl>
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<pre>public&nbsp;double&nbsp;logProbability(int&nbsp;x)</pre>
<div class="block">For a random variable <code>X</code> whose values are distributed according to
 this distribution, this method returns <code>log(P(X = x))</code>, where
 <code>log</code> is the natural logarithm. In other words, this method
 represents the logarithm of the probability mass function (PMF) for the
 distribution. Note that due to the floating point precision and
 under/overflow issues, this method will for some distributions be more
 precise and faster than computing the logarithm of
 <a href="../../../../../org/apache/commons/math3/distribution/IntegerDistribution.html#probability(int)"><code>IntegerDistribution.probability(int)</code></a>.
 <p>
 The default implementation simply computes the logarithm of <code>probability(x)</code>.</p></div>
<dl>
<dt><strong>Overrides:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#logProbability(int)">logProbability</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractIntegerDistribution</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the point at which the PMF is evaluated</dd>
<dt><span class="strong">Returns:</span></dt><dd>the logarithm of the value of the probability mass function at <code>x</code></dd></dl>
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<pre>public&nbsp;double&nbsp;cumulativeProbability(int&nbsp;x)</pre>
<div class="block">For a random variable <code>X</code> whose values are distributed according
 to this distribution, this method returns <code>P(X &lt;= x)</code>.  In other
 words, this method represents the (cumulative) distribution function
 (CDF) for this distribution.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the point at which the CDF is evaluated</dd>
<dt><span class="strong">Returns:</span></dt><dd>the probability that a random variable with this
 distribution takes a value less than or equal to <code>x</code></dd></dl>
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<pre>public&nbsp;double&nbsp;getNumericalMean()</pre>
<div class="block">Use this method to get the numerical value of the mean of this
 distribution.

 For probability parameter <code>p</code>, the mean is <code>(1 - p) / p</code>.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>the mean or <code>Double.NaN</code> if it is not defined</dd></dl>
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<pre>public&nbsp;double&nbsp;getNumericalVariance()</pre>
<div class="block">Use this method to get the numerical value of the variance of this
 distribution.

 For probability parameter <code>p</code>, the variance is
 <code>(1 - p) / (p * p)</code>.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>the variance (possibly <code>Double.POSITIVE_INFINITY</code> or
 <code>Double.NaN</code> if it is not defined)</dd></dl>
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<h4>getSupportLowerBound</h4>
<pre>public&nbsp;int&nbsp;getSupportLowerBound()</pre>
<div class="block">Access the lower bound of the support. This method must return the same
 value as <code>inverseCumulativeProbability(0)</code>. In other words, this
 method must return
 <p><code>inf {x in Z | P(X <= x) > 0}</code>.</p>

 The lower bound of the support is always 0.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>lower bound of the support (always 0)</dd></dl>
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<pre>public&nbsp;int&nbsp;getSupportUpperBound()</pre>
<div class="block">Access the upper bound of the support. This method must return the same
 value as <code>inverseCumulativeProbability(1)</code>. In other words, this
 method must return
 <p><code>inf {x in R | P(X <= x) = 1}</code>.</p>

 The upper bound of the support is infinite (which we approximate as
 <code>Integer.MAX_VALUE</code>).</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>upper bound of the support (always Integer.MAX_VALUE)</dd></dl>
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<pre>public&nbsp;boolean&nbsp;isSupportConnected()</pre>
<div class="block">Use this method to get information about whether the support is
 connected, i.e. whether all integers between the lower and upper bound of
 the support are included in the support.

 The support of this distribution is connected.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd><code>true</code></dd></dl>
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<pre>public&nbsp;int&nbsp;inverseCumulativeProbability(double&nbsp;p)
                                 throws <a href="../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></pre>
<div class="block">Computes the quantile function of this distribution.
 For a random variable <code>X</code> distributed according to this distribution,
 the returned value is
 <ul>
 <li><code>inf{x in Z | P(X<=x) >= p}</code> for <code>0 &lt; p &lt;= 1</code>,</li>
 <li><code>inf{x in Z | P(X<=x) > 0}</code> for <code>p = 0</code>.</li>
 </ul>
 If the result exceeds the range of the data type <code>int</code>,
 then <code>Integer.MIN_VALUE</code> or <code>Integer.MAX_VALUE</code> is returned.

 The default implementation returns
 <ul>
 <li><a href="../../../../../org/apache/commons/math3/distribution/IntegerDistribution.html#getSupportLowerBound()"><code>IntegerDistribution.getSupportLowerBound()</code></a> for <code>p = 0</code>,</li>
 <li><a href="../../../../../org/apache/commons/math3/distribution/IntegerDistribution.html#getSupportUpperBound()"><code>IntegerDistribution.getSupportUpperBound()</code></a> for <code>p = 1</code>, and</li>
 <li><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#solveInverseCumulativeProbability(double,%20int,%20int)"><code>AbstractIntegerDistribution.solveInverseCumulativeProbability(double, int, int)</code></a> for
     <code>0 &lt; p &lt; 1</code>.</li>
 </ul></div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/distribution/IntegerDistribution.html#inverseCumulativeProbability(double)">inverseCumulativeProbability</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/distribution/IntegerDistribution.html" title="interface in org.apache.commons.math3.distribution">IntegerDistribution</a></code></dd>
<dt><strong>Overrides:</strong></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#inverseCumulativeProbability(double)">inverseCumulativeProbability</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractIntegerDistribution</a></code></dd>
<dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - the cumulative probability</dd>
<dt><span class="strong">Returns:</span></dt><dd>the smallest <code>p</code>-quantile of this distribution
 (largest 0-quantile for <code>p = 0</code>)</dd>
<dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code> - if <code>p &lt; 0</code> or <code>p &gt; 1</code></dd></dl>
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